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Box spline

In the mathematical fields of numerical analysis and approximation theory, box splines are piecewise polynomial functions of several variables. Box… Expand
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Papers overview

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2009
2009
We describe and demonstrate an arrow notation for deriving box-spline subdivision schemes. We compare it with the z -transform… Expand
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2006
2006
We propose a new characterization of three-directional box-splines, which are well adapted for interpolation and approximation on… Expand
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2002
2002
This chapter introduces Box and half-box Splines with particular focus on triangular splines and surface design. A particular… Expand
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2002
2002
During the past twenty years, much research has been undertaken to study surface representations based on B-splines and box… Expand
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1995
1995
To blend be~ween simple implicit surfaces, such as the sphere, the cone, the cylinder and the torus, we propose La locally employ… Expand
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1993
1993
This chapter provides a brief introduction to box and half-box splines with particular focus on triangular splines and surface… Expand
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1992
1992
A general procedure for constructing multivariate non-tensor-product wavelets that generate an orthogonal decomposition ofL2(R)s… Expand
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1985
1985
AbstractLet Ξ=(ξi)ln be a sequence of vectors inRm. The box splineMΞ is defined as the distribution given by $$M_\Xi :\varphi \to… Expand
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1984
1984
This paper proposes a general approach to subdivision algorithms used in interactive computer aided design for splines which are… Expand
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1984
1984
We introduce discrete box splines and use them to give a general knotline refinement algorithm for surfaces which are linear… Expand
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